The first Brocard Cevian triangle is the Cevian triangle of the first Brocard point. It has area

where is the area of the reference triangle, which is the same as not only the second Brocard Cevian triangle, but also of the symmedial triangle.

The first Brocard Cevian triangle is the Cevian triangle of the first Brocard point. It has area

where is the area of the reference triangle, which is the same as not only the second Brocard Cevian triangle, but also of the symmedial triangle.

Weisstein, Eric W. "First Brocard Cevian Triangle."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/FirstBrocardCevianTriangle.html